Numerical simulation of non-linear regular and focused waves in an infinite water-depth

D Z Ning, B Teng, R Eatock Taylor, Jun Zang

Research output: Contribution to journalArticle

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Abstract

Inviscid three-dimensional free surface wave motions are simulated using a novel quadratic higher order boundary element model (HOBEM) based on potential theory for irrotational, incompressible fluid flow in an infinite water-depth. The free surface boundary conditions are fully non-linear. Based on the use of images, a channel Green function is developed and applied to the present model so that two lateral surfaces of an infinite-depth wave tank can be excluded from the calculation domain. In order to generate incident waves and dissipate outgoing waves, a non-reflective wave generator, composed of a series of vertically aligned point sources in the computational domain, is used in conjunction with upstream and downstream damping layers. Numerical experiments are carried out, with linear and fully non-linear, regular and focused waves. It can be seen from the results that the present approach is effective in generating a specified wave profile in an infinite water-depth without reflection at the open boundaries, and fully non-linear numerical simulations compare well with theoretical solutions. The present numerical technique is aimed at efficient modelling of the non-linear wave interactions with ocean structures in deep water.
LanguageEnglish
Pages887-899
Number of pages13
JournalOcean Engineering
Volume35
Issue number8-9
DOIs
StatusPublished - 2008

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Computer simulation
Water
Ocean structures
Green's function
Surface waves
Flow of fluids
Damping
Boundary conditions
Experiments

Cite this

Numerical simulation of non-linear regular and focused waves in an infinite water-depth. / Ning, D Z; Teng, B; Eatock Taylor, R; Zang, Jun.

In: Ocean Engineering, Vol. 35, No. 8-9, 2008, p. 887-899.

Research output: Contribution to journalArticle

Ning, D Z ; Teng, B ; Eatock Taylor, R ; Zang, Jun. / Numerical simulation of non-linear regular and focused waves in an infinite water-depth. In: Ocean Engineering. 2008 ; Vol. 35, No. 8-9. pp. 887-899
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